Good Questions: How Do I Refinish My Fiberglass Chairs?

I've scored a great find dirt cheap: a pair of mid-century French fiberglass molded armchairs with Eiffel legs. Love the shape, and in good condition, they'd sell for at least $1000/ea (paid $100 for two) but the finish is wrecked. At some point, someone tried to paint them, but most of the paint is gone. The chairs appear to have been stored outside for a long time, so the fiberglass is discolored, though sound. Would love to refinish them, but not sure what to use. I'm an artist, so not afraid of a good project, but this feels daunting since if I don't do it properly, I'm going to destroy two gorgeous chairs. Appreciate any advice!